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Copyright © Swun MathCopyright © Swun Math Grade 8 Unit 4 Lesson 6 P TE

Solve Equations: Distributive

Property

Procedural Lesson
Grade 8 · Unit 4 · Lesson 6
MC: 8.EE.7b

Problem of the Day

Objective: I will solve for a variable by using the distributive property.

Vocabulary Teacher Resources

Collecting Like Terms:

Distributive Property

3(n + 4) + 4(n + 2)

3n + 12 + 4n + 8

7n + 20

Multiplying Integers:

 different signs = negative answer

 same sign = positive answer

3 × ─4 = ─ 12

3 groups of (─4) is ─ 12

The negative sign means :

flip to the opposite side of the number line

Considerations:

It is helpful to talk about factors when using the

distributive property. The integer outside the

parentheses tells how many times to use the

factor inside the parentheses.

Remind students to ALWAYS check their

solution by substituting the value for the

variable in the original equation.

Steps:

1. Identify the parts of the equation.


2. Simplify using the distributive
   property.


3. Collect like terms, if necessary.


4. Use inverse operation of
   addition/subtraction.
   
   
   • Move terms w/variables to one
     side.
   
   
   • Move constants to the other side.
   
   
   
   


5. Use inverse operation of
   multiplication/division.
   
   
   • Solve for the variable.
   
   
   
   


6. Check.

Application of MPs:

MP2: What is the relationship between the

quantities?

2(x + 2) equals 2x + 4 because.

MP7: What did you notice when you used the

distributive property?

I noticed that the second expression is

related to the first because.

1 2 3 4 5 6 7 8

* ^ * * * ^ *

MPs

Applied MP

* Embedded MP

Student Journal Pages

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